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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 807 · 40 questions
TalentJR

How to solve it (Look at the gaps): Look at two numbers side by side and find the jump: 5 → 10 is a jump of +5. Is the jump the same every time? Then add the same jump once more to the last number. Going down? Take away the same jump. Harder patterns: the jump can grow (+2, +3, +4 …) or the numbers can double (2, 4, 8, 16 …).

NameDateTime takenScore ___ / 40
  1. 1.What comes next? 9, 18, 14, 23, 19, 28, ? (a) 37 (b) 23 (c) 32 (d) 24
  2. 2.What comes next? 1, 6, 2, 7, 3, 8, ? (a) 3 (b) 12 (c) 4 (d) 13
  3. 3.What comes next? 71, 62, 53, 44, 35, ? (a) 17 (b) 25 (c) 26 (d) 27
  4. 4.What comes next? 19, 25, 31, 37, 43, ? (a) 55 (b) 48 (c) 49 (d) 50
  5. 5.What comes next? 5, 9, 14, 20, 27, ? (a) 37 (b) 35 (c) 36 (d) 34
  6. 6.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 45 (c) 81 (d) 90
  7. 7.What comes next? 19, 24, 21, 26, 23, 28, ? (a) 31 (b) 33 (c) 25 (d) 24
  8. 8.What comes next? 5, 6, 8, 11, 15, ? (a) 21 (b) 20 (c) 22 (d) 19
  9. 9.What comes next? 2, 4, 6, 8, 10, ? (a) 11 (b) 12 (c) 14 (d) 13
  10. 10.What comes next? 23, 27, 31, 35, 39, ? (a) 47 (b) 43 (c) 42 (d) 44
  11. 11.What comes next? 15, 19, 23, 27, 31, ? (a) 35 (b) 39 (c) 36 (d) 34
  12. 12.What comes next? 26, 21, 16, 11, 6, ? (a) 2 (b) 1 (c) 3 (d) 4
  13. 13.What comes next? 10, 16, 13, 19, 16, 22, ? (a) 25 (b) 19 (c) 18 (d) 28
  14. 14.What comes next? 6, 11, 16, 21, 26, ? (a) 36 (b) 31 (c) 30 (d) 32
  15. 15.What comes next? 17, 27, 37, 47, 57, ? (a) 77 (b) 67 (c) 68 (d) 66
  16. 16.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 144 (c) 193 (d) 192
  17. 17.What comes next? 35, 30, 25, 20, 15, ? (a) 9 (b) 5 (c) 10 (d) 11
  18. 18.What comes next? 18, 21, 24, 27, 30, ? (a) 32 (b) 34 (c) 36 (d) 33
  19. 19.What comes next? 24, 21, 18, 15, 12, ? (a) 8 (b) 6 (c) 10 (d) 9
  20. 20.What comes next? 4, 9, 8, 13, 12, 17, ? (a) 15 (b) 18 (c) 22 (d) 16
  21. 21.What comes next? 60, 51, 42, 33, 24, ? (a) 16 (b) 15 (c) 14 (d) 6
  22. 22.What comes next? 28, 23, 18, 13, 8, ? (a) 3 (b) 5 (c) 4 (d) 2
  23. 23.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 160 (c) 200 (d) 161
  24. 24.What comes next? 52, 45, 38, 31, 24, ? (a) 17 (b) 18 (c) 16 (d) 10
  25. 25.What comes next? 22, 20, 18, 16, 14, ? (a) 10 (b) 13 (c) 12 (d) 11
  26. 26.What comes next? 59, 50, 41, 32, 23, ? (a) 14 (b) 13 (c) 5 (d) 15
  27. 27.What comes next? 8, 13, 12, 17, 16, 21, ? (a) 19 (b) 26 (c) 20 (d) 22
  28. 28.What comes next? 5, 8, 12, 17, 23, ? (a) 29 (b) 32 (c) 30 (d) 31
  29. 29.What comes next? 5, 10, 9, 14, 13, 18, ? (a) 17 (b) 16 (c) 23 (d) 19
  30. 30.What comes next? 32, 26, 20, 14, 8, ? (a) 2 (b) 1 (c) 4 (d) 3
  31. 31.What comes next? 18, 25, 32, 39, 46, ? (a) 54 (b) 53 (c) 52 (d) 60
  32. 32.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 48 (c) 80 (d) 65
  33. 33.What comes next? 1, 4, 2, 5, 3, 6, ? (a) 4 (b) 9 (c) 8 (d) 3
  34. 34.What comes next? 14, 26, 38, 50, 62, ? (a) 73 (b) 75 (c) 86 (d) 74
  35. 35.What comes next? 64, 56, 48, 40, 32, ? (a) 23 (b) 25 (c) 24 (d) 16
  36. 36.What comes next? 45, 37, 29, 21, 13, ? (a) 5 (b) 4 (c) 7 (d) 6
  37. 37.What comes next? 3, 5, 8, 12, 17, ? (a) 23 (b) 25 (c) 24 (d) 22
  38. 38.What comes next? 5, 15, 25, 35, 45, ? (a) 54 (b) 55 (c) 65 (d) 56
  39. 39.What comes next? 38, 36, 34, 32, 30, ? (a) 29 (b) 26 (c) 27 (d) 28
  40. 40.What comes next? 17, 23, 29, 35, 41, ? (a) 46 (b) 48 (c) 53 (d) 47

Answer key

  1. 24
  2. 4
  3. 26
  4. 49
  5. 35
  6. 81
  7. 25
  8. 20
  9. 12
  10. 43
  11. 35
  12. 1
  13. 19
  14. 31
  15. 67
  16. 192
  17. 10
  18. 33
  19. 9
  20. 16
  21. 15
  22. 3
  23. 160
  24. 17
  25. 12
  26. 14
  27. 20
  28. 30
  29. 17
  30. 2
  31. 53
  32. 64
  33. 4
  34. 74
  35. 24
  36. 5
  37. 23
  38. 55
  39. 28
  40. 47

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